1011202132320 has 288 divisors, whose sum is σ = 3548371095360. Its totient is φ = 262041661440.

The previous prime is 1011202132309. The next prime is 1011202132331. The reversal of 1011202132320 is 232312021101.

1011202132320 is a `hidden beast` number, since 1 + 0 + 11 + 202 + 132 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (1011202132309) and next prime (1011202132331).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1011202132293 and 1011202132302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44690610 + ... + 44713230.

It is an arithmetic number, because the mean of its divisors is an integer number (12320732970).

Almost surely, 2^{1011202132320} is an apocalyptic number.

1011202132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011202132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774185547680).

1011202132320 is an abundant number, since it is smaller than the sum of its proper divisors (2537168963040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011202132320 is a wasteful number, since it uses less digits than its factorization.

1011202132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23518 (or 23507 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1011202132320 its reverse (232312021101), we get a palindrome (1243514153421).

The spelling of 1011202132320 in words is "one trillion, eleven billion, two hundred two million, one hundred thirty-two thousand, three hundred twenty".